Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost

Rodrigue Lelotte

doi:10.1007/s00205-025-02140-w

Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost

Rodrigue Lelotte

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a conjecture regarding the asymptotic behavior at infinity of the Kantorovich potential for the Multimarginal Optimal Transport with Coulomb and Riesz costs.

Original language	English
Article number	68
Journal	Archive for Rational Mechanics and Analysis
Volume	249
Issue number	6
DOIs	https://doi.org/10.1007/s00205-025-02140-w
Publication status	Published - 1 Dec 2025
Externally published	Yes

Access to Document

10.1007/s00205-025-02140-w

Cite this

@article{edd57c23b2784085b7a1a581a19eaf3e,

title = "Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost",

abstract = "We prove a conjecture regarding the asymptotic behavior at infinity of the Kantorovich potential for the Multimarginal Optimal Transport with Coulomb and Riesz costs.",

author = "Rodrigue Lelotte",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2025.",

year = "2025",

month = dec,

day = "1",

doi = "10.1007/s00205-025-02140-w",

language = "English",

volume = "249",

journal = "Archive for Rational Mechanics and Analysis",

issn = "0003-9527",

number = "6",

}

TY - JOUR

T1 - Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost

AU - Lelotte, Rodrigue

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2025.

PY - 2025/12/1

Y1 - 2025/12/1

N2 - We prove a conjecture regarding the asymptotic behavior at infinity of the Kantorovich potential for the Multimarginal Optimal Transport with Coulomb and Riesz costs.

AB - We prove a conjecture regarding the asymptotic behavior at infinity of the Kantorovich potential for the Multimarginal Optimal Transport with Coulomb and Riesz costs.

UR - https://www.scopus.com/pages/publications/105021124858

U2 - 10.1007/s00205-025-02140-w

DO - 10.1007/s00205-025-02140-w

M3 - Article

AN - SCOPUS:105021124858

SN - 0003-9527

VL - 249

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 6

M1 - 68

ER -

Asymptotics of the Kantorovich Potential for the Optimal Transport with Coulomb Cost

Abstract

Access to Document

Other files and links

Fingerprint

Cite this